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1006993384 = 23675093691
BaseRepresentation
bin111100000001010…
…111111111101000
32121011211120020021
4330001113333220
54030242242014
6243531210224
733645205525
oct7401277750
92534746207
101006993384
11477470041
122412a6974
13130818397
1497a4c14c
155d613624
hex3c057fe8

1006993384 has 32 divisors (see below), whose sum is σ = 1920578400. Its totient is φ = 494873280.

The previous prime is 1006993381. The next prime is 1006993387. The reversal of 1006993384 is 4833996001.

It is an interprime number because it is at equal distance from previous prime (1006993381) and next prime (1006993387).

It is a self number, because there is not a number n which added to its sum of digits gives 1006993384.

It is not an unprimeable number, because it can be changed into a prime (1006993381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270979 + ... + 274669.

It is an arithmetic number, because the mean of its divisors is an integer number (60018075).

Almost surely, 21006993384 is an apocalyptic number.

It is an amenable number.

1006993384 is a deficient number, since it is larger than the sum of its proper divisors (913585016).

1006993384 is a wasteful number, since it uses less digits than its factorization.

1006993384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 1006993384 is about 31733.1590611461. The cubic root of 1006993384 is about 1002.3257148572.

The spelling of 1006993384 in words is "one billion, six million, nine hundred ninety-three thousand, three hundred eighty-four".

Divisors: 1 2 4 8 67 134 268 509 536 1018 2036 3691 4072 7382 14764 29528 34103 68206 136412 247297 272824 494594 989188 1878719 1978376 3757438 7514876 15029752 125874173 251748346 503496692 1006993384